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Researchers implemented a single-qubit measurement-based t-design using IBM's ibmqtoronto quantum processor, which has low error rates. The qubit topology of the processor is shown in Fig. 1, and the qubits used for the 3-design implementation are shaded gray. The implementation was done on 6 physical qubits, and the relevant calibration information is shown in Table I. The effect of depolarizing noise on the t-design's ability to reproduce the moments of the uniform Haar ensemble was investigated, and test results were obtained analytically for the 1-design and numerically for the 2-design and 3-design. The results are plotted in Figs. 2 and 3, showing that the second moment of the uniform Haar ensemble is sensitive to depolarizing noise, while the third moment is unaffected. A depolarizing noise model was used to infer a consistent value for the parameter p, but the values inferred from the 2-design and 3-design tests were different, suggesting that this noise model is not correct for the 3-design implementation. Channel tomography results for the implementation of the identity operation with a 3-qubit cluster state on the ibmqtoronto quantum processor are shown in Fig. 4.

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Researchers implemented a single-qubit measurement-based t-design using IBM's ibmq_toronto quantum processor, which has low error rates.

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  • File Format: PDF
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  • Language: EN
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